A more detailed treatment of this fallacy can be found on the supplementary Inductive Errors page.

Case Study One

If you break your leg the first time on the ski slopes, this is not evidence that skiing is any more dangerous than other sports. Actual statistical significance derived from a sufficiently large data set is necessary before such a conclusion can be made, in spite of your disinclination to get back on the slopes anytime soon.

Case Study Two

When confronted with statistical evidence that a university degree improves your chances of securing a satisfying job, citing your unemployed Ph.D. neighbor does not invalidate the statistical evidence, and is a bottom-up condemnation fallacy.